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Finding the Third Proportional to 252,207 and 553,620

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Solution

The third proportional to 252,207 and 553,620 is: 1,215,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,207 : 553,620 = 553,620 : x
  2. Step 2: Convert to fraction form
    252,207/553,620 = 553,620/x
  3. Step 3: Cross multiply
    252,207x = 553,620 × 553,620
  4. Step 4: Simplify right side
    252,207x = 306,495,104,400
  5. Step 5: Solve for x
    x = 306,495,104,400/252,207
  6. Step 6: Final answer
    x = 1,215,252.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.